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                [Usaco2006 Jan]Corral the Cows 奶牛围栏                </h1>
                <p>时间限制：5s&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  空间限制：64MB</p>			</div>
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                                <h3>题目描述</h3><p><p><span style="font-size: medium">Farmer John wishes to build a corral for his cows. Being finicky beasts, they demand that the corral be square and that the corral contain at least C (1 &lt;= C &lt;= 500) clover fields for afternoon treats. The corral's edges must be parallel to the X,Y axes. FJ's land contains a total of N (C &lt;= N &lt;= 500) clover fields, each a block of size 1 x 1 and located at with its lower left corner at integer X and Y coordinates each in the range 1..10,000. Sometimes more than one clover field grows at the same location; such a field would have its location appear twice (or more) in the input. A corral surrounds a clover field if the field is entirely located inside the corral's borders. Help FJ by telling him the side length of the smallest square containing C clover fields. </span></p>
<div><span style="font-size: medium">&nbsp;&nbsp;&nbsp;&nbsp;约翰打算建一个围栏来圈养他的奶牛．作为最挑剔的兽类，奶牛们要求这个围栏必须是正方形的，而且围栏里至少要有C(1&le;C&le;500)个草场，来供应她们的午餐．</span></div>
<div><span style="font-size: medium">&nbsp;&nbsp;&nbsp;&nbsp;约翰的土地上共有N(C&le;N&le;500)个草场，每个草场在一块lxl的方格内，而且这个方格的坐标不会超过10000.有时候，会有多个草场在同一个方格内，那他们的坐标就会相同．</span></div>
<div><span style="font-size: medium">&nbsp;&nbsp;&nbsp;&nbsp;告诉约翰，最小的围栏的边长是多少？</span></div>
<div><span style="font-size: medium">&nbsp;</span></div></p><hr/><h3>输入格式</h3><p><p><span style="font-size: medium">* Line 1: Two space-separated integers: C and N </span></p>
<p><span style="font-size: medium">* Lines 2..N+1: Each line contains two space-separated integers that are the X,Y coordinates of a clover field. </span></p>
<div><span style="font-size: medium">&nbsp;&nbsp;&nbsp;&nbsp;第1行输入C和N，接下来N行每行输入一对整数，表示一个草场所在方格的坐标</span></div></p><hr/><h3>输出格式</h3><p><p><span style="font-size: medium">* Line 1: A single line with a single integer that is length of one edge of the minimum size square that contains at least C clover fields. </span></p>
<div><span style="font-size: medium">&nbsp;&nbsp;&nbsp;&nbsp;输入最小边长．</span></div>
<p></p></p><hr/><h3>样例输入</h3><pre>3 4
1 2
2 1
4 1
5 2
</pre><hr/><h3>样例输出</h3><pre>4

OUTPUT DETAILS:

Below is one 4x4 solution (C's show most of the corral's area); many
others exist.

|CCCC
|CCCC
|*CCC*
|C*C*
+------</pre><hr/><h3>提示</h3><p>没有写明提示</p><hr/><h3>题目来源</h3><p>Gold</p>
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